83430120 has 64 divisors (see below), whose sum is σ = 251424000. Its totient is φ = 22147328.

The previous prime is 83430119. The next prime is 83430133. The reversal of 83430120 is 2103438.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27226 + ... + 30134.

It is an arithmetic number, because the mean of its divisors is an integer number (3928500).

Almost surely, 2^83430120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125712000).

83430120 is an abundant number, since it is smaller than the sum of its proper divisors (167993880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83430120 is a wasteful number, since it uses less digits than its factorization.

83430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83430120 is about 9134.0089774425. The cubic root of 83430120 is about 436.9592688256.

Adding to 83430120 its reverse (2103438), we get a palindrome (85533558).

The spelling of 83430120 in words is "eighty-three million, four hundred thirty thousand, one hundred twenty".